137519 has 2 divisors, whose sum is σ = 137520. Its totient is φ = 137518.

The previous prime is 137507. The next prime is 137537. The reversal of 137519 is 915731.

137519 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (915731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137519 - 2¹⁶ = 71983 is a prime.

It is a super-2 number, since 2×137519² = 37822950722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68759 + 68760.

It is an arithmetic number, because the mean of its divisors is an integer number (68760).

2¹³⁷⁵¹⁹ is an apocalyptic number.

137519 is a deficient number, since it is larger than the sum of its proper divisors (1).

137519 is an equidigital number, since it uses as much as digits as its factorization.

137519 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 945, while the sum is 26.

The square root of 137519 is about 370.8355430646. The cubic root of 137519 is about 51.6163830357.

It can be divided in two parts, 137 and 519, that added together give a palindrome (656).

The spelling of 137519 in words is "one hundred thirty-seven thousand, five hundred nineteen".